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LCM of 488, 245, 458, 802

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 488, 245, 458, 802 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 488, 245, 458, 802. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 488,245,458,802

Given numbers are 488,245,458,802

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 488,245,458,802 is 10979075240.

Find LCM of 488,245,458,802 with Prime Factorization


2 488, 245, 458, 802
244, 245, 229, 401

Multiply the prime numbers at the bottom and the left side.

2 x 244 x 245 x 229 x 401 = 10979075240

Therefore, the lowest common multiple of 488,245,458,802 is 10979075240.

LCM Formula to Find Lowest Common Multiple of 488,245,458,802

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

488 x 245 x 458 x 802 = 43916300960

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

488 : 1, 2, 4, 8, 61, 122, 244, 488

245 : 1, 5, 7, 35, 49, 245

458 : 1, 2, 229, 458

802 : 1, 2, 401, 802

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,245,458,802, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

245:5x 7x 7

458:2x 229

802:2x 401

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 43916300960/(1x4)

LCM = 43916300960/4

LCM = 10979075240

Thus, we can understand that the LCM of 488,245,458,802 is 10979075240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 488, 245, 458, 802

1. What is the LCM of 488, 245, 458, 802?

Answer: LCM of 488, 245, 458, 802 is 10979075240.

2. How to calculate the LCM of 488, 245, 458, 802?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 488, 245, 458, 802.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.